{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# *Relaxation and Decoherence* \n",
    "\n",
    "\n",
    "This notebook gives examples for how to use the ``ignis.characterization.coherence`` module for measuring $T_1$ and $T_2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import qiskit\n",
    "from qiskit.providers.aer.noise.errors.standard_errors import thermal_relaxation_error\n",
    "from qiskit.providers.aer.noise import NoiseModel\n",
    "\n",
    "from qiskit.ignis.characterization.coherence import T1Fitter, T2StarFitter, T2Fitter\n",
    "from qiskit.ignis.characterization.coherence import t1_circuits, t2_circuits, t2star_circuits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generation of coherence circuits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This shows how to generate the circuits. The list of qubits specifies for which qubits to generate characterization circuits; these circuits will run in parallel. The discrete unit of time is the identity gate (``iden``) and so the user must specify the time of each identity gate if they would like the characterization parameters returned in units of time. This should be available from the backend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-18T15:34:52.275440Z",
     "start_time": "2018-12-18T15:32:05.667514Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "num_of_gates = (np.linspace(10, 300, 50)).astype(int)\n",
    "gate_time = 0.1\n",
    "\n",
    "# Note that it is possible to measure several qubits in parallel\n",
    "qubits = [0, 2]\n",
    "\n",
    "t1_circs, t1_xdata = t1_circuits(num_of_gates, gate_time, qubits)\n",
    "t2star_circs, t2star_xdata, osc_freq = t2star_circuits(num_of_gates, gate_time, qubits, nosc=5)\n",
    "t2echo_circs, t2echo_xdata = t2_circuits(np.floor(num_of_gates/2).astype(int), \n",
    "                                         gate_time, qubits)\n",
    "t2cpmg_circs, t2cpmg_xdata = t2_circuits(np.floor(num_of_gates/6).astype(int), \n",
    "                                         gate_time, qubits, \n",
    "                                         n_echos=5, phase_alt_echo=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Backend execution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "backend = qiskit.Aer.get_backend('qasm_simulator')\n",
    "shots = 400\n",
    "\n",
    "# Let the simulator simulate the following times for qubits 0 and 2:\n",
    "t_q0 = 25.0\n",
    "t_q2 = 15.0\n",
    "\n",
    "# Define T1 and T2 noise:\n",
    "t1_noise_model = NoiseModel()\n",
    "t1_noise_model.add_quantum_error(\n",
    "    thermal_relaxation_error(t_q0, 2*t_q0, gate_time), \n",
    "    'id', [0])\n",
    "t1_noise_model.add_quantum_error(\n",
    "    thermal_relaxation_error(t_q2, 2*t_q2, gate_time), \n",
    "    'id', [2])\n",
    "\n",
    "t2_noise_model = NoiseModel()\n",
    "t2_noise_model.add_quantum_error(\n",
    "    thermal_relaxation_error(np.inf, t_q0, gate_time, 0.5), \n",
    "    'id', [0])\n",
    "t2_noise_model.add_quantum_error(\n",
    "    thermal_relaxation_error(np.inf, t_q2, gate_time, 0.5), \n",
    "    'id', [2])\n",
    "\n",
    "# Run the simulator\n",
    "t1_backend_result = qiskit.execute(t1_circs, backend, shots=shots,\n",
    "                                   noise_model=t1_noise_model, optimization_level=0).result()\n",
    "t2star_backend_result = qiskit.execute(t2star_circs, backend, shots=shots,\n",
    "                                       noise_model=t2_noise_model, optimization_level=0).result()\n",
    "t2echo_backend_result = qiskit.execute(t2echo_circs, backend, shots=shots,\n",
    "                                       noise_model=t2_noise_model, optimization_level=0).result()\n",
    "\n",
    "# It is possible to split the circuits into multiple jobs and then give the results to the fitter as a list:\n",
    "t2cpmg_backend_result1 = qiskit.execute(t2cpmg_circs[0:5], backend,\n",
    "                                        shots=shots, noise_model=t2_noise_model,\n",
    "                                        optimization_level=0).result()\n",
    "t2cpmg_backend_result2 = qiskit.execute(t2cpmg_circs[5:], backend,\n",
    "                                        shots=shots, noise_model=t2_noise_model,\n",
    "                                        optimization_level=0).result()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysis of results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[24.10436641574169, 15.1725404065493]\n",
      "[2.2001166293232, 0.6420239307715634]\n",
      "{'0': [array([ 0.97307515, 24.10436642,  0.02663813]), array([ 1.00092258e+00,  1.51725404e+01, -5.42259153e-03])]}\n",
      "{'0': [array([0.04753859, 2.20011663, 0.05166528]), array([0.01408857, 0.64202393, 0.01729388])]}\n"
     ]
    },
    {
     "data": {
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FG27w1j4UEZG4UOcw3qZOhfR0ivL/wqJFjqVLoV8/KCqKd2AiIiIxdNNNsOuu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\nqbgYrr4arrsuPJ8yBR57rANLJpJ7Ul1zeB5wh7vvDoxpdu4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wAerqWpwaGm9N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\nfHNoZmZmZmZmwH8BPpWzo09AXukAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d6d0048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fitting T1\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "plt.figure(figsize=(15, 6))\n",
    "\n",
    "t1_fit = T1Fitter(t1_backend_result, t1_xdata, qubits,\n",
    "                  fit_p0=[1, t_q0, 0],\n",
    "                  fit_bounds=([0, 0, -1], [2, 40, 1]))\n",
    "print(t1_fit.time())\n",
    "print(t1_fit.time_err())\n",
    "print(t1_fit.params)\n",
    "print(t1_fit.params_err)\n",
    "\n",
    "for i in range(2):\n",
    "    ax = plt.subplot(1, 2, i+1)\n",
    "    t1_fit.plot(i, ax=ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Execute the backend again to get more statistics, and add the results to the previous ones:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8O6giIiLx4sorYflyza0QEfGBOodN0T77wMMPw7vvwqWX+h2NiIhI9KSkwB57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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d3955f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t1_backend_result_new = qiskit.execute(t1_circs, backend,\n",
    "                                       shots=shots, noise_model=t1_noise_model,\n",
    "                                       optimization_level=0).result()\n",
    "t1_fit.add_data(t1_backend_result_new)\n",
    "\n",
    "plt.figure(figsize=(15, 6))\n",
    "for i in range(2):\n",
    "    ax = plt.subplot(1, 2, i+1)\n",
    "    t1_fit.plot(i, ax=ax)    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dRNP9RtO9igi3dy/88gukpvo85MC0C5gz9lUy5n0DOS+GMJOiKWJiYujatWvj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XMbXL0PXnzRv0/81ltw5JHO3iCsyemnK72HHTvqTA5rpaICQkL4tf0Z1o3NwTh4mmoU9fUc9gT6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\niIgI6hyKiIiIiIgI8P+eWtgZk9awtgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d6d05f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fitting T2*\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "t2star_fit = T2StarFitter(t2star_backend_result, t2star_xdata, qubits,\n",
    "                          fit_p0=[0.5, t_q0, osc_freq, 0, 0.5],\n",
    "                          fit_bounds=([-0.5, 0, 0, -np.pi, -0.5],\n",
    "                                      [1.5, 40, 2*osc_freq, np.pi, 1.5]))\n",
    "\n",
    "plt.figure(figsize=(15, 6))\n",
    "for i in range(2):\n",
    "    ax = plt.subplot(1, 2, i+1)\n",
    "    t2star_fit.plot(i, ax=ax)    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'0': [array([ 0.46514794, 21.68047828,  0.53799714]), array([ 0.53077749, 16.98595852,  0.47459488])]}\n"
     ]
    },
    {
     "data": {
      "image/png": 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wG+BkvAbnXDPbPcbxx092NgD7rn2baxcXeZtBNlD3ZlYdlSIikka22wu5shUT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\njKd2iHYeZ88Oe2JddFEYYW2h+uxzDbV0XWVFRZsS4EkBUhwVkbZIybY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Tucqk7t1rmTQp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\n6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d469358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fitting T2 single echo\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "t2echo_fit = T2Fitter(t2echo_backend_result, t2echo_xdata, qubits,\n",
    "                      fit_p0=[0.5, t_q0, 0.5],\n",
    "                      fit_bounds=([-0.5, 0, -0.5],\n",
    "                                  [1.5, 40, 1.5]))\n",
    "\n",
    "print(t2echo_fit.params)\n",
    "\n",
    "plt.figure(figsize=(15, 6))\n",
    "for i in range(2):\n",
    "    ax = plt.subplot(1, 2, i+1)\n",
    "    t2echo_fit.plot(i, ax=ax)    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xx0XANOfcQ865+c65PwDfAWOjHF8APOScm+GcW+ScewJ4ELg8SfE2SlERzJ7t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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d553ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fitting T2 CPMG\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "t2cpmg_fit = T2Fitter([t2cpmg_backend_result1, t2cpmg_backend_result2],\n",
    "                      t2cpmg_xdata, qubits,\n",
    "                      fit_p0=[0.5, t_q0, 0.5],\n",
    "                      fit_bounds=([-0.5, 0, -0.5],\n",
    "                                  [1.5, 40, 1.5]))\n",
    "\n",
    "plt.figure(figsize=(15, 6))\n",
    "for i in range(2):\n",
    "    ax = plt.subplot(1, 2, i+1)\n",
    "    t2cpmg_fit.plot(i, ax=ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T01:30:54.922391Z",
     "start_time": "2019-08-22T01:30:54.914268Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>None</td></tr><tr><td>Terra</td><td>0.9.0</td></tr><tr><td>Aer</td><td>0.3.0</td></tr><tr><td>Ignis</td><td>0.2.0</td></tr><tr><td>Aqua</td><td>0.5.3</td></tr><tr><td>IBM Q Provider</td><td>0.3.2rc1</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.4 (default, Aug 13 2019, 15:17:50) \n",
       "[Clang 4.0.1 (tags/RELEASE_401/final)]</td></tr><tr><td>OS</td><td>Darwin</td></tr><tr><td>CPUs</td><td>4</td></tr><tr><td>Memory (Gb)</td><td>16.0</td></tr><tr><td colspan='2'>Wed Aug 21 21:30:54 2019 EDT</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2019.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "celltoolbar": "Tags",
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  },
  "nteract": {
   "version": "0.22.0"
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
